To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

3a x 9b = (3 x 9) (a x b) = 27ab

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

c² + 8c + 28 = -4c - 4
c² + 8c + 28 + 4 = -4c
c² + 8c + 4c + 32 = 0
c² + 12c + 32 = 0

Next, factor the quadratic equation:

c² + 12c + 32 = 0
(c + 4)(c + 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (c + 4) or (c + 8) must equal zero:

If (c + 4) = 0, c must equal -4
If (c + 8) = 0, c must equal -8

So the solution is that c = -4 or -8

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c² = a² + b²
c² = 3² + 6²
c² = 9 + 36
c² = 45
c = \( \sqrt{45} \)

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.

To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

-2c(c - z)
-2(2)(2 - 9)
-2(2)(-7)
(-4)(-7)
28